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math.AG2023
Fundamental groups of log Calabi-Yau surfaces
Cécile Gachet, Zhining Liu, Joaquín Moraga
In this article, we study the orbifold fundamental group of a Calabi--Yau pair with log canonical singularities. We conjecture that the orbifold fundam…
math.AG2022
A note on polarized varieties with high nef value
Zhining Liu
We study the classification problem for polarized varieties with high nefvalue. We give a complete list of isomorphism classes for normal polarized varieties with high nefvalue. Th…
math.AG2022
On the fundamental groups of effective compact Kähler orbifolds with nef anticanonical bundle
Zhining Liu
We show that the orbifold fundamental group of an effective compact K{ä}hler orbifold with nef anticanonical bundle has polynomial growth, which generalizes M.P ăun's results for m…